Answer:
<h2>8.50h + 80 ≥131</h2>
Step-by-step explanation:
The answer is not in the option
Step one:
given data:
we are told that the hourly earning= $8.50
then additional tip=$80
total earnings=$131.
Step two:
the linear function for the total earning is the same as the equation of a line
y=mx+c
where
y represents the total earning of $131
m represents the hourly earning= $8.50
x represents the number of hours h
c represents the tip of $80
The expression for the situation is modeled as
<h2>8.50h + 80 ≥131</h2>
Answer:
Brook is faster.
Step-by-step explanation:
1 hour=60 minutes
2 hours=2*60=120 minutes
-------------
7 miles in 30 minutes vs 25 miles in 120 minutes
7/30=0.233...mile per minute
25/120=0.20833...mile per minute
Answer: 29.28 years
Explanation:
From Kepler's third law the square of orbital period of revolving celestial body is proportional to the cube of semi -major axis from the body it is revolving about.
P² =A³
Where, P is the orbital period in years and A is the semi-major axis in AU (Astronomical units)
It is given that, For Saturn, A = 9.5 AU. We need to find P
⇒P² = (9.5 AU)³
⇒P² = 857.38
⇒P = 29.28 years
Thus, the orbital period of Jupiter is 29.28 years around the Sun.
Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q = 
- 
= 0
Sum of angles in a triangle = 
<P + <Q + <S =
048° + 0 + <S =
+ <S =
<S = -
= 
<S =
Applying the Sine rule,
= 
= 
=
= 
= 
⇒ y = 
= 12.703
y = 12.70 km
=
=
=
⇒ x = 
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
